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1146793648 = 2472111353193
BaseRepresentation
bin100010001011010…
…1010111010110000
32221220220011010211
41010112222322300
54322034344043
6305443433504
740263404500
oct10426527260
92856804124
101146793648
11539376050
12280085894
13153785830
14ac43da00
156aa2aa9d
hex445aaeb0

1146793648 has 240 divisors, whose sum is σ = 3109863456. Its totient is φ = 402554880.

The previous prime is 1146793643. The next prime is 1146793663. The reversal of 1146793648 is 8463976411.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (1146793643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5941840 + ... + 5942032.

Almost surely, 21146793648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1146793648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554931728).

1146793648 is an abundant number, since it is smaller than the sum of its proper divisors (1963069808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1146793648 is a wasteful number, since it uses less digits than its factorization.

1146793648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 279 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

The square root of 1146793648 is about 33864.3418362147. The cubic root of 1146793648 is about 1046.7149478497.

The spelling of 1146793648 in words is "one billion, one hundred forty-six million, seven hundred ninety-three thousand, six hundred forty-eight".